42096600 has 288 divisors, whose sum is σ = 174676320. Its totient is φ = 8847360.

The previous prime is 42096589. The next prime is 42096611. The reversal of 42096600 is 669024.

It is an interprime number because it is at equal distance from previous prime (42096589) and next prime (42096611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163672 + ... + 163928.

It is an arithmetic number, because the mean of its divisors is an integer number (606515).

Almost surely, 2^42096600 is an apocalyptic number.

42096600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42096600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87338160).

42096600 is an abundant number, since it is smaller than the sum of its proper divisors (132579720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42096600 is a wasteful number, since it uses less digits than its factorization.

42096600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42096600 is about 6488.1892697424. The cubic root of 42096600 is about 347.8689558123.

It can be divided in two parts, 420 and 96600, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 42096600 in words is "forty-two million, ninety-six thousand, six hundred".